Graph ​g(x)=2x2−4x−16​. find the parabola i have the vertex its (1, - 18) i think help i need too ace this

Answer:

17.6 laps

Step-by-step explanation:

Total distance to be covered = 2 miles

distance coved in each lap = 400 yards

We know that 1 mile = 1760 yards

therefore, 4 miles will make = 4×1760

= 7040 yards.

Number of laps to be taken

= Total distance to be covered ÷ distance coved in each lap

= 7040/400 = 17.6 laps

Therefore, it would take 17.6 laps to cover a distance of 4 miles if lap were 400 yards.

The solution to the given differential equation is y = e⁽ˣ³⁾⁽²⁸ˣ ⁺ ᶜ⁾, where C is a constant.

To solve the first-order linear differential equation of the form y' + p(x)y = q(x), where p(x) and q(x) are functions of x:

Find the integrating factor (IF) = e⁽∫ᵖ⁽ˣ⁾ᵈˣ⁾

Multiply both sides of the equation by the IF.

Apply the product rule to the left side and simplify the right side.

Integrate both sides with respect to x.

Solve for y.

Using this method, for the given equation:

y' - 3x²y = 28e⁽ˣ³⁾

Find the integrating factor (IF):

IF = e⁽∫ᵖ⁽ˣ⁾ᵈˣ⁾ = e⁽⁻³/¹ * ∫ˣ²ᵈˣ⁾ = e⁽⁻ˣ³⁾

Multiply both sides by the IF:

e⁽⁻ˣ³⁾y' - 3x²e⁽⁻ˣ³⁾y = 28

Apply the product rule to the left side and simplify the right side:

d/dx (e⁽⁻ˣ³⁾y) = 28

Integrate both sides with respect to x:

e⁽⁻ˣ³⁾)y = 28x + C, where C is the constant of integration.

Solve for y:

y = e⁽ˣ³⁾(28x + C)

Therefore, the solution to the given differential equation is y = e⁽ˣ³⁾(28x + C), where C is a constant.

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Complete question:

How to solve the first order linear differential equation

Y'- 3x²y=28eˣ³

Answer:

NO

jk, jk, it's B

Step-by-step explanation:

Answer:

24.587

Step-by-step explanation:

divide the speed value by 2.237

Answer:

1/3 divided by three is 1/9 ( one ninth )

1/3•3 = 3/9 (still the same fraction)

3/9 divided by 3 = 1/9

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Answer:

21,600

Step-by-step explanation:

20,000/100: 200

200: 1%

200 x 8%: 1600

100% + 8%: 108%

20,000 + 1,600: 21,600

R: 21,600

Strategies such as fast-tracking, crashing, prioritization, and resource optimization can be employed to reduce the project completion time by 5 weeks.


To reduce the completion time of the project by 5 weeks, we need to analyze the provided information and make appropriate adjustments. The initial completion time of the project is 25 weeks.

To achieve a reduction of 5 weeks, we can consider several strategies:

1. Fast-tracking: This involves overlapping or parallelizing certain project activities that were initially planned to be executed sequentially. By identifying tasks that can be performed concurrently, we can potentially save time. However, it's important to evaluate the impact on resource allocation and potential risks associated with fast-tracking.

2. Crashing: This strategy focuses on expediting critical activities by adding more resources or adopting alternative approaches to complete them faster. By compressing the schedule of critical tasks, we can reduce the overall project duration. However, this may come at an additional cost.

3. Prioritization: By reevaluating the project tasks and their priorities, we can allocate resources more efficiently. This ensures that critical activities receive higher attention and are completed earlier, resulting in an accelerated project timeline.

4. Resource optimization: Analyzing the resource allocation and identifying potential areas for optimization can lead to time savings. By ensuring that resources are utilized effectively and efficiently, we can streamline the project execution process.

It's important to note that implementing any of these strategies requires careful evaluation, considering factors such as project constraints, risks, cost implications, and stakeholder agreements. A comprehensive analysis of the project plan, resource availability, and critical path can guide the decision-making process for reducing the project completion time.

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Answer:

1080 degrees

Step-by-step explanation:

The sum of the interior angles of any polygon is:

Sum = (n - 2) * 180

Where n represents the number of vertices of the polygon

This polygon has 8 vertices so:

(8-2) * 180 = 6*180 = 1080 degrees

The hexadecimal system numbering system is base 16; in other words, 16 numerals are used to express any given number.

In this system, 16 numerals are used to represent any given number. The numerals used in this system are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F, where A represents 10, B represents 11, and so on, up to F, which represents 15.

This system is commonly used in computer science, as it is more compact than the decimal system, and allows for easier conversion between binary and decimal systems. In the hexadecimal system, each digit represents a power of 16, just as each digit in the decimal system represents a power of 10.

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Answer:

a = -50/51

Step-by-step explanation:

1 + 2a + 3 + 4a + 5 + 6a + ...... + 97 + 98a + 99 + 100a = 0

  1 +   3 +   5 + ...  + 99 +   2a +    4a + ... + 98a + 100a = 0     Eq. 1

99 + 97 + 95 + ... +    1  + 98a + 96a + ... +   4a  +    2a  = 0    Eq. 2

Add Eq. 1 and Eq. 2

100 + 100 + ... + 100 + 102a + 102a + ... 102a = 0

50(100)/2 + 50(102a)/2 = 0

2500 + 2550a = 0

2550a = -2500

a = -2500/2550

a = -250/255

a = -50/51

Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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Answer:

0,1

2,2

4,3

6,4

Step-by-step explanation:

Some Examples

4 = 1/2 (6) + 1

4 = 3 + 1

4=4

----------

2 = 1/2 (2) + 1

2 = 1 + 1

2 = 2

h

0

2

4

6

...................

The observation is located to the left of the mean by a distance of 1.2 standard deviations.

The z-score of an observation represents the number of standard deviations the observation is away from the mean.

If the z-score for a particular observation is z = -1.2, this means that the observation is 1.2 standard deviations below the mean.

If the mean is represented by μ and the standard deviation by σ, then we can express this observation as:

observation = μ + (z * σ)

observation = μ + (-1.2 * σ)

This means that the observation is located to the left of the mean by a distance of 1.2 standard deviations.

For example, The z-score represents the number of standard deviations an observation is above or below the mean of the distribution.

In this case, a z-score of -1.2 indicates that the observation is 1.2 standard deviations below the mean height of the group.

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Answer:

  $409

Step-by-step explanation:

You want the break-even selling price of a guitar if production cost is c(x) = 75x+50000 and x=150 units are sold.

To break even, the revenue must be equal to the cost. If P is the price of each guitar, then the revenue is ...

  R(x) = Px

To break even, we have ...

  R(x) = C(x)

  150P = 75(150) +50000

  P = 75 +50000/150 = 75 +333.33 = 408.33

The selling price of each guitar should be $409 to break even.

__

Additional comment

The cost equation tells you the production cost for a guitar is $75, and there is overhead cost of $50,000. Effectively, the overhead must be divided by the number of units sold, and that allocated cost is added to the actual production cost of a guitar to get the break-even selling price.

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The series Σ(cos(15)k) from k=1 to infinity is convergent.

Σ\((cos(15)k)\) from k=1 to infinity

To determine if this series converges or diverges, we can use the Ratio Test. The Ratio Test states that if the limit as n approaches infinity of the absolute value of the ratio of consecutive terms is less than 1, then the series converges. If it's greater than 1, it diverges. If it's equal to 1, the test is inconclusive.

Step 1: Find the ratio of consecutive terms, a(k+1)/a(k)

a(k+1) = cos(15)(k+1)
a(k) = cos(15)k

Ratio: |a(k+1)/a(k)| = |cos(15)(k+1) / cos(15)k|

Step 2: Simplify the ratio

|cos(15)(k+1) / cos(15)k| = |cos(15)|

Since the ratio doesn't depend on k, the limit will just be the absolute value of the ratio itself.

Step 3: Compare the limit to 1

|cos(15)| < 1, since 0 < cos(15) < 1

According to the Ratio Test, since the limit of the absolute value of the ratio of consecutive terms is less than 1, the series converges.

Your answer: The series Σ(cos(15)k) from k=1 to infinity is convergent.

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To construct a Deterministic Finite Accepted M such that L(M) = L(G), the language generated by grammar G = ({S, A, B}, {a, b}, S , {S -> abS, S -> A, A -> baB, B -> aA, B -> bb} ), the following steps should be followed:

Step 1: Eliminate the Null productions from the grammar by removing productions containing S. The grammar, after removing null production, becomes as follows.{S -> abS, S -> A, A -> baB, B -> aA, B -> bb}

Step 2: Eliminate the unit productions. The grammar is as follows. {S -> abS, S -> baB, S -> bb, A -> baB, B -> aA, B -> bb}

Step 3: Now we will convert the given grammar to an equivalent DFA by removing the left recursion. By removing the left recursion, we get the following productions. {S -> abS | baB | bb, A -> baB, B -> aA | bb}

Step 4: Draw the state diagram for the DFA using the following rules: State diagram for L(G) DFA 1. The start state is the initial state of the DFA. 2. The final state is the final state of the DFA. 3. Label the edges with symbols on which transitions are made. 4. A table for the transition function is created. The table for the transition function of L(G) DFA is given below:{Q, a} -> P{Q, b} -> R{P, a} -> R{P, b} -> Q{R, a} -> Q{R, b} -> R

Step 5: Construct the DFA using the state diagram and transition function. The DFA for the given language is shown below. The starting state is shown in green and the final state is shown in blue. DFA for L(G) -> ({Q, P, R}, {a, b}, Q, {Q, P}) Where, Q is the starting state P is the first intermediate state R is the second intermediate state.

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Answer:

3x-3xy-2xy-5x+6. ( multiply the number that were outside the bracket)

By BODMAS rule...

= 3x-5x-3xy-2xy+6

= -2x-5xy+6

hope you understood...

Answer and Step-by-step explanation:

We are given an expression to simplify. According to PEMDAS

(Parenthesis, Exponents, Multiplication, Division, Addition, and Subtract [in that order]), we need to start with the parentheses first.

With what we are given, we need to multiply the value outside of the parenthesis to the values inside the parenthesis.

Start with the first set of terms in the expression.

3(x - xy)

We need to multiply 3 to the x and negative xy.

3x - 3xy

Now we go to the next set of terms in the expression.

-x(2y + 5)

Distribute the x (multiply) to the 2y and 5.

-2xy - 5x

Now, we combine like terms within the entire expression.

Combining like terms is essentially saying to combine the terms that have similar properties/values. We have values that have an x with it, and xy with it, and no variables with it. We can combine only the values with the x variable together, and the values with the xy variable can only be combined together. The values without the variables (if you have more than one), will combine only with each other.

3x - 3xy - 2xy - 5x + 6

____________________________________________

-5xy - 2x + 6   <- This is the final answer; the simplified version of the expression.

#teamtrees #PAW (Plant And Water)

There are 16,632 ways to split a dozen people into three teams, where one team has two people and the other two teams have five people each.

To split a dozen people into three teams, where one team has two people and the other two teams have five people each, we can use the concept of combinations.

First, we choose the two people for the team with two members. This can be done in C(12, 2) ways, where C(n, k) represents the number of combinations of n items taken k at a time..

After selecting the two people for the first team, we are left with 10 people. We then divide them into two groups of five for the other two teams. Since the order of the teams doesn't matter, we don't need to consider permutations.

Thus, we can calculate the total number of ways as:
C(12, 2) * C(10, 5) = 66 * 252 = 16,632

Therefore, there are 16,632 ways to split a dozen people into three teams, where one team has two people and the other two teams have five people each.
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In this assignment, students will be required to calculate basic descriptive statistics to describe a set of data.

The data set will consist of a number of variables such as age, gender, height, weight, and other demographic information. From this data set, students will be tasked with calculating measures of central tendency such as the mean, median, and mode. They will also be required to calculate measures of variability such as the range, variance, and standard deviation. Finally, students will analyze the data to determine any correlations or relationships between the different variables. By completing this assignment, students will demonstrate their understanding of how to calculate and interpret descriptive statistics.

the complete question is :

this assignment links directly to the following learning outcomes from this module: calculate basic descriptive statistics to describe a set of data.

Data :

5, 7, 8, 6, 9, 7, 10, 6, 8, 7

Descriptive Statistics :

Mean: 7.4

Median: 7.5

Mode: 7

Range: 5

Standard Deviation: 1.4

Variance: 1.9

Quartiles: 5th - 6, 25th - 7, 75th - 8

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For the transformation at -78 °C, appropriate reagents include lithium aluminum hydride (LiAlH4) and diethyl ether.

At -78 °C, certain chemical reactions require the use of specific reagents to achieve the desired transformation. One commonly used reagent is lithium aluminum hydride (LiAlH4), which acts as a strong reducing agent. It is capable of reducing various functional groups, such as carbonyl compounds, to their corresponding alcohols.

Diethyl ether is typically employed as a solvent to facilitate the reaction and ensure efficient mixing of the reactants. Researchers often utilize this low temperature for reactions involving sensitive or reactive intermediates, as it helps control the reaction and prevent unwanted side reactions.

The use of LiAlH4 and diethyl ether provides a reliable combination for achieving the desired transformation at this temperature, enabling chemists to manipulate and modify compounds in a controlled manner.

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The ordered pair (1, -3) is a solution of the inequality y < 3x + 1.

Check to see if each input corresponds to exactly one output value using the x-coordinates of the ordered pairs as the input values and the y-coordinates of the ordered pairs as the output values.

An ordered pair is a solution to an inequality; use it with the inequality to make it simpler. The ordered pair eliminates the inequality if you receive a true assertion. The ordered pair is not a practical choice if you receive a false assertion.

The ordered pair (1, -3) is a solution of the inequality y < 3x + 1.

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Answer:

Two sets are equivalent if they have the same cardinal or the same number of elements.

Step-by-step explanation:

Step-by-step explanation:

\(\displaystyle \rm -2z+3-z=-4z+2 \\\\ -3z+3=-4z+2 \\\\ 4z-3z=-3+2 \\\\ \underline{z=-1 \ \ \ \ } \\\\\)

\(\large{\rm{\underline{\underline{Answer:}}}}\)

Given to solve: -2z+3-z = -4z+2

⇛ -3z + 3 = -4z + 2

⇛ -3z + 4z = 2 - 3

⇛ z = -1

Required value of z is -1. The steps we followed are: We shifted z to a single side and other numbers to other side. Then we equated to get the result.

Answer:

1) x=-36  

2) x>-11/12

3) x>-22

Step-by-step explanation:

The probability that on a particular Monday, they each suggest a different activity is 0.11.

The probability that in a period of four consecutive Mondays, they all suggest the same activity on exactly two of the four Mondays is 0.0504.

1. Probability that on a particular Monday, they each suggest a different activity:

The probability is calculated using the formula below:

Probability = P(SMC) + P(MCS) + P(CSM)

Probability = (0.4 x 0.55 x 0.5) + (0.3 x 0.2 x 0.3) + (0.3 x 0.25 x 0.2)

Probability = 0.11

2. The probability that in a period of four consecutive Mondays, they all suggest the same activity on exactly two of the four Mondays is determined using the binomial distribution.

Let success be suggesting the same activity on exactly two of the four Mondays.

The probability of success on any Monday is:

P(success) = P(SSNN) + P(NSSN) + P(NNSS)

P(success) = 3 x (0.4 x 0.4 x 0.6 x 0.6)

P(success) = 0.3456

The probability of failure is:

P(failure) = 1 - P(success)

P(failure)= 1 - 0.3456

P(failure) = 0.6544

Choose exactly two Mondays out of four is ⁴C₂

The probability of exactly two successes = ⁴C₂ * P(success)² * P(failure)²

P(exactly 2 successes) = 6 x (0.3456)² x (0.6544)²

P(exactly 2 successes) = 0.0504 or 5.04%

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For the responses collected in the question "please indicate your level of satisfaction with your most recent online shopping experience", a suitable statistical data reporting would be a frequency distribution. This type of report would show the number of responses falling into each category, from very dissatisfied (1) to very satisfied (5).

For example, if 100 people responded to this question, the frequency distribution would show how many people rated their experience as a 1, 2, 3, 4, or 5. This type of report would allow for easy comparison of the distribution of responses across different groups, such as age or gender.
Additionally, measures of central tendency, such as the mean and median, could also be used to summarize the overall level of satisfaction. This could be useful for presenting a general overview of the responses collected.
Overall, a frequency distribution is a suitable statistical data reporting method for the responses collected in this question as it allows for easy comparison of the distribution of responses and provides a clear summary of the overall level of satisfaction.

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Answer:

continuous

Step-by-step explanation:

because function on the graph is a straight line

Answer:

-57

Step-by-step explanation:

\(log \frac{ {c}^{7} }{ {a}^{6} {b}^{2} } \\ \\ = log {c}^{7} - log( {a}^{6} {b}^{2} ) \\ \\ = log {c}^{7} - (log {a}^{6} + log{b}^{2} )\\ \\ = 7 \: log {c} - (6 \: log {a}+ 2 \: log{b})\\ \\ = 7 \:( - 9) - [6 \: ( - 5)+ 2 \: (12)] \\ \\ = - 63 - [ - 30 + 24] \\ \\ = - 63 - [- 6] \\ \\ = - 63 + 6 \\ \\ = - 57\)